(3y-5)(2-y)=0

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Solution for (3y-5)(2-y)=0 equation: 


Simplifying
(3y + -5)(2 + -1y) = 0

Reorder the terms:
(-5 + 3y)(2 + -1y) = 0

Multiply (-5 + 3y) * (2 + -1y)
(-5(2 + -1y) + 3y * (2 + -1y)) = 0
((2 * -5 + -1y * -5) + 3y * (2 + -1y)) = 0
((-10 + 5y) + 3y * (2 + -1y)) = 0
(-10 + 5y + (2 * 3y + -1y * 3y)) = 0
(-10 + 5y + (6y + -3y2)) = 0

Combine like terms: 5y + 6y = 11y
(-10 + 11y + -3y2) = 0

Solving
-10 + 11y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + y)(5 + -3y) = 0


Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 0 + -5
-3y = 0 + -5

Combine like terms: 0 + -5 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667
Solution
y = {2, 1.666666667}

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